Regularity and uniqueness of the solution of the control problem for the stationary equations of magnetic hydrodynamics with mixed boundary conditions
Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 264-275
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The control problems for the stationary equations of viscous magnetic hydrodynamics under mixed boundary conditions for the velocity and electric and magnetic fields are considered. The regularity of the Lagrange multiplier for the considered control problems is proved. The sufficient conditions of uniqueness of solutions of the control problem for the specific cost functional are established.
@article{DVMG_2003_4_2_a8,
author = {R. V. Brizitskii},
title = {Regularity and uniqueness of the solution of the control problem for the stationary equations of magnetic hydrodynamics with mixed boundary conditions},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {264--275},
publisher = {mathdoc},
volume = {4},
number = {2},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a8/}
}
TY - JOUR AU - R. V. Brizitskii TI - Regularity and uniqueness of the solution of the control problem for the stationary equations of magnetic hydrodynamics with mixed boundary conditions JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2003 SP - 264 EP - 275 VL - 4 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a8/ LA - ru ID - DVMG_2003_4_2_a8 ER -
%0 Journal Article %A R. V. Brizitskii %T Regularity and uniqueness of the solution of the control problem for the stationary equations of magnetic hydrodynamics with mixed boundary conditions %J Dalʹnevostočnyj matematičeskij žurnal %D 2003 %P 264-275 %V 4 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a8/ %G ru %F DVMG_2003_4_2_a8
R. V. Brizitskii. Regularity and uniqueness of the solution of the control problem for the stationary equations of magnetic hydrodynamics with mixed boundary conditions. Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 264-275. http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a8/